Reality Carnival Unleashed
Friday, February 1, 2008
Mathematics and art blend in ecstasy
# posted by Cliff Pickover @ 4:17 PM 
Comments:
<< Home
In and Outside the Torus
Can anyone imagine what this image looks like by reading the description?
"[this] is an interior view of a cyclide of Dupin, a torus on a three-dimensional sphere in four-space projected stereographically from a point on the torus itself, leading to a third-order algebraic surface expressed as a union of circles (and four straight lines). These curves are orbits of a Hamiltonian dynamical system and the fibers over a great circle of the Hopf mapping from the three-sphere to the two-sphere"
Post a Comment
Can anyone imagine what this image looks like by reading the description?
"[this] is an interior view of a cyclide of Dupin, a torus on a three-dimensional sphere in four-space projected stereographically from a point on the torus itself, leading to a third-order algebraic surface expressed as a union of circles (and four straight lines). These curves are orbits of a Hamiltonian dynamical system and the fibers over a great circle of the Hopf mapping from the three-sphere to the two-sphere"
<< Home
